Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900
grams and a standard deviation of 700
grams while babies born after a gestation period of 40 weeks have a mean weight of 3400
grams and a standard deviation of 520
grams. If a 33
-week
gestation period baby weighs 3375
grams and a 41
-week
gestation period baby weighs 3875
grams, find the corresponding z-scores. Which baby weighs more
relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively more?
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A.The baby born in week 41 weighs relatively more since its z-score,--- is larger than the z-score of --- for the baby born in week 33
.
B.The baby born in week 33 weighs relatively more since its z-score, --- is smaller than the z-score of --- for the baby born in week 41
.
C. The baby born in week 33 weighs relatively more since its z-score, --- is larger than the z-score of --- for the baby born in week 41
.
D.The baby born in week 41 weighs relatively more since its z-score,--- is smaller than the z-score of --- for the baby born in week 33
.
To find the corresponding z-scores for each baby, we can use the formula:
z-score = (x - mean) / standard deviation
For the baby born in week 33:
z-score = (3375 - 2900) / 700
= 0.6786
For the baby born in week 41:
z-score = (3875 - 3400) / 520
= 0.9207
Now, comparing the z-scores, we can determine which baby weighs more relative to the gestation period.
The correct answer is:
C. The baby born in week 33 weighs relatively more since its z-score (0.6786) is larger than the z-score (0.9207) for the baby born in week 41.